# SIMPLE PENDULUM AND RESTORING FORCE PERIODIC MOTION The motion which repeats its

## SIMPLE PENDULUM AND RESTORING FORCE PERIODIC MOTION The motion which repeats its

Waetjen, Sage, Executive Producer has reference to this Academic Journal, PHwiki organized this Journal SIMPLE PENDULUM AND RESTORING FORCE PERIODIC MOTION The motion which repeats itself after fixed time intervals is called periodic motion The best example of periodic motion are the pendulum clocks. A SIMPLE PENDULUM A string with a mass at the end which is free to swing is called a pendulum.

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TO AND FRO MOTION The ball moves to in addition to fro. It rises to extreme positions on both sides in addition to reverses its motion Oscillations gradually die down LENGTH OF THE PENDULUM The length of the string from the point of suspension to the mass is called the length of the pendulum. It is denoted by L MEAN POSITION OF THE PENDULUM The central position of the pendulum (the starting position) is called the mean position of the pendulum. It is labeled here as B.

EXTREME POSITIONS OF THE PENDULUM A in addition to C are the extreme positions of the pendulum. OSCILLATION The motion of the mass from its extreme position A to C in addition to back to A is called an oscillation. TIME TAKEN FOR ONE OSCILLATION The time taken as long as one oscillation is very short in addition to there as long as e, difficult to measure accurately. To find the time taken, we find the time taken as long as large number say 20 oscillations. This time divided by 20 will give us time taken as long as one oscillation.

PERIODIC TIME OF THE SIMPLE PENDULUM The time taken to complete one oscillation is called the periodic time of the simple pendulum. It is sometimes also called its period in addition to is denoted by T. RELATIONSHIP BETWEEN LENGTH AND TIME PERIOD OF THE PENDULUM The graph of the relationship between length in addition to time period of the pendulum is a parabola. Thus the relationship can be expressed as L=constant X T2 VALUE OF CONSTANT L= constant X T2 constant= By calculating the value of as long as each value of the graph between L in addition to T2, the value of the constant comes out to be 0.248

UNITS OF THE CONSTANT The constant has the same units as the acceleration that is m/s2 If we try to learn more about the pendulum, we will find that the constant is just the acceleration g due to gravity divided by RELATIONSHIP BETWEEN T AND L The equation is The Period of the pendulum T is related to the length L by the relation

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